[SOLVED] Volumes of Revolution 1. The problem statement, all variables and given/known data find the volume of region A in the first quadrant that is inclosed in the parabola 2x(2-x) and the x-axis, of which is rotated around the axis y = -2. 2. Relevant equations y=(4+2x^2) y= -2 piS(from 0 to 2) (R^2 - r^2) 3. The attempt at a solution piS(0 to 2)(4x + 2x^2 +2)^2 + (2^2) piS(0 to 2) (4x^4 + 16x^3 + 24x^2 + 8x + 4) = (4x^3/3 + 16x^4/4 + 24x^3/3 + 8x^2/2 + 4x)|(0 to 2) from this you can plug in 2 to get 158pi obviously this is too large to be the area thus my dilemma. any help is appreciated thanks.